Department of Anatomy, The Faculty of Medicine, Campus of Beylikdüzü, 52947University of Beykent, Büyükçekmece-Istanbul, Turkey.
Department of Radiology, The Faculty of Medicine, 420479University of Biruni, Florya-Istanbul, Turkey.
Ear Nose Throat J. 2021 Jan;100(1):NP57-NP61. doi: 10.1177/0145561319862786. Epub 2019 Jul 31.
The golden ratio is reached by the fractal model of the number sequence which is known as the "Fibonacci series" and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several organs and structures in the human body. The conchae, which form an important part of the nasal valve, have a special geometric significant in terms of providing turbulence to the laminar airflow that passes to the nasal cavity.
This study made golden ratio calculations on 34 adults aged 20 to 45 years over computed tomography (CT) images. Totally, 34 volunteers (male, n = 18 and female, n = 16) with no nasal pathologies participated in the study. Using Adobe Photoshop, golden ratio calculations were made by applying the Fibonacci spiral on the images that best showed the conchae and meatuses on the CT images.
The intersection points of the spiral that was projected on the inferior and middle nasal concha were determined as S0, S1, S2, S3, and S4. The distances of S0-S1, S1-S2, S2-S3, and S3-S4 were measured. The concha measurements of the women showed significantly similar values to the golden ratio constant of ∼1.618 in the RS3/S4 and LS3/S4 measurements.
We found that the S3/S4 region that captured the golden ratio in our study corresponds to the base part of the inferior nasal concha, and its place of spiraling in the nasal cavity is observed to have an important role in creating vortices.
通过被称为“斐波那契数列”的数字序列分形模型可以达到黄金比例，并且在两个连续的斐波那契数之间的收敛比约为 1.618。在自然界中的几种植物和人体的几个器官和结构中已经显示出黄金比例关系。鼻甲作为鼻阀的重要组成部分，在为进入鼻腔的层流提供湍流方面具有特殊的几何意义。
本研究通过计算断层扫描（CT）图像对 34 名 20 至 45 岁的成年人进行黄金比例计算。共有 34 名志愿者（男性，n=18 名，女性，n=16 名）没有鼻腔疾病参加了这项研究。使用 Adobe Photoshop，通过在 CT 图像上最佳显示鼻甲和鼻道的图像上应用斐波那契螺旋，进行黄金比例计算。
投射到下鼻甲和中鼻甲的螺旋的交点被确定为 S0、S1、S2、S3 和 S4。测量 S0-S1、S1-S2、S2-S3 和 S3-S4 的距离。女性的鼻甲测量值在 RS3/S4 和 LS3/S4 测量值中与约 1.618 的黄金比例常数表现出明显相似的值。
我们发现，我们的研究中捕捉到黄金比例的 S3/S4 区域对应于下鼻甲的基部，并且在鼻腔中螺旋的位置被观察到在产生涡流方面具有重要作用。
